8. Let A be an m x n matrix with m> n. Let b € Rm and suppose that N(A) = {0}. (a) What can you conclude about the colum

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8 Let A Be An M X N Matrix With M N Let B Rm And Suppose That N A 0 A What Can You Conclude About The Colum 1 (29.17 KiB) Viewed 12 times

8. Let A be an m x n matrix with m> n. Let b € Rm and suppose that N(A) = {0}. (a) What can you conclude about the column vec- tors of A? Are they linearly independent? Do they span R"? Explain. (b) How many solutions will the system Ax = b have if b is not in the column space of A? How many solutions will there be if b is in the column space of A? Explain.